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math.CA2026
Properties of two Chebyshev-like polynomial sequences
Karl Dilcher, Seon-Hong Kim, Kenneth B. Stolarsky
By modifying the generating function of the Chebyshev polynomials of the second kind, we obtain a sequence of reciprocal (or palindromic) polynomials, as well as a related companio…
math.CA2025
Powers of the arcsine and infinite classes of series involving central binomial coefficients
Karl Dilcher, Christophe Vignat
A general integral expression to transform power series is applied to and its positive integer powers. We concentrate on the first to the fourth powers and obtain infi…